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Variational and Level Set Methods in Image Segmentation

  • Book
  • © 2011

Overview

  • Useful applications in remote sensing, medicine
  • Useful applications in robotics, database search
  • Useful applications in security
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Topics in Signal Processing (STSP, volume 5)

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Table of contents (9 chapters)

Keywords

About this book

Image segmentation consists of dividing an image domain into disjoint regions according to a characterization of the image within or in-between the regions. Therefore, segmenting an image is to divide its domain into relevant components. The efficient solution of the key problems in image segmentation promises to enable a rich array of useful applications. The current major application areas include robotics, medical image analysis, remote sensing, scene understanding, and image database retrieval. The subject of this book is image segmentation by variational methods with a focus on formulations which use closed regular plane curves to define the segmentation regions and on a level set implementation of the corresponding active curve evolution algorithms. Each method is developed from an objective functional which embeds constraints on both the image domain partition of the segmentation and the image data within or in-between the partition regions. The necessary conditions to optimize the objective functional are then derived and solved numerically. The book covers, within the active curve and level set formalism, the basic two-region segmentation methods, multiregion extensions, region merging, image modeling, and motion based segmentation. To treat various important classes of images, modeling investigates several parametric distributions such as the Gaussian, Gamma, Weibull, and Wishart. It also investigates non-parametric models. In motion segmentation, both optical flow and the movement of real three-dimensional objects are studied.

Authors and Affiliations

  • , INRS Energie, Matériaux et Télécom, Université de Quebec, Montreal, Canada

    Amar Mitiche

  • Inst. National de la Recherche, Scientifique (INRS), Université de Quebec, Montreal, Canada

    Ismail Ben Ayed

Bibliographic Information

  • Book Title: Variational and Level Set Methods in Image Segmentation

  • Authors: Amar Mitiche, Ismail Ben Ayed

  • Series Title: Springer Topics in Signal Processing

  • DOI: https://doi.org/10.1007/978-3-642-15352-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-15351-8Published: 25 October 2010

  • Softcover ISBN: 978-3-642-26562-4Published: 05 December 2012

  • eBook ISBN: 978-3-642-15352-5Published: 22 October 2010

  • Series ISSN: 1866-2609

  • Series E-ISSN: 1866-2617

  • Edition Number: 1

  • Number of Pages: VIII, 192

  • Number of Illustrations: 23 b/w illustrations, 19 illustrations in colour

  • Topics: Signal, Image and Speech Processing, Image Processing and Computer Vision

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